Unitarity in Higher-Derivative Quantum Gravity

Physics

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Renormalization

Scientific paper

A Euclidean lattice formulation is presented of the general fourth-order gravitational action involving R2μν terms. This lattice theory is bounded and reflection positive. The existence of a positive Hilbert space and Hamiltonian, and hence unitarity, follow then from the standard nonperturbative Osterwalder-Schrader construction.

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